Triple
T8143994
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Book XIII of Euclid's Elements |
E190162
|
entity |
| Predicate | isPrecededBy |
P97
|
FINISHED |
| Object |
Book XII of Euclid's Elements
Book XII of Euclid's Elements is a foundational mathematical text that develops the method of exhaustion to rigorously determine areas and volumes of curved figures such as circles, cones, and spheres.
|
E712323
|
NE FINISHED |
How this triple was built (4 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Book XII of Euclid's Elements | Statement: [Book XIII of Euclid's Elements, isPrecededBy, Book XII of Euclid's Elements]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Book XII of Euclid's Elements Context triple: [Book XIII of Euclid's Elements, isPrecededBy, Book XII of Euclid's Elements]
-
A.
Book XIII of Euclid's Elements
Book XIII of Euclid's Elements is the concluding book of Euclid’s mathematical treatise, focusing on the construction and properties of the five regular Platonic solids within the framework of classical Greek geometry.
-
B.
Euclid's Elements
Euclid's Elements is an ancient Greek mathematical treatise that systematically presents the foundations of geometry, number theory, and mathematical proof.
-
C.
Book X of the Elements
Book X of the Elements is a section of Euclid’s mathematical treatise that systematically develops the theory of irrational magnitudes and incommensurability.
-
D.
Book V of the Elements
Book V of the Elements is the section of Euclid’s mathematical treatise that rigorously develops the general theory of proportion, foundational for real number and magnitude theory in geometry.
-
E.
Euclides adauctus et methodicus
Euclides adauctus et methodicus is a 17th-century mathematical treatise by Guarino Guarini that expands and systematizes Euclidean geometry for advanced study and architectural application.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Book XII of Euclid's Elements Triple: [Book XIII of Euclid's Elements, isPrecededBy, Book XII of Euclid's Elements]
Generated description
Book XII of Euclid's Elements is a foundational mathematical text that develops the method of exhaustion to rigorously determine areas and volumes of curved figures such as circles, cones, and spheres.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Book XII of Euclid's Elements Target entity description: Book XII of Euclid's Elements is a foundational mathematical text that develops the method of exhaustion to rigorously determine areas and volumes of curved figures such as circles, cones, and spheres.
-
A.
Book XIII of Euclid's Elements
Book XIII of Euclid's Elements is the concluding book of Euclid’s mathematical treatise, focusing on the construction and properties of the five regular Platonic solids within the framework of classical Greek geometry.
-
B.
Euclid's Elements
Euclid's Elements is an ancient Greek mathematical treatise that systematically presents the foundations of geometry, number theory, and mathematical proof.
-
C.
Book X of the Elements
Book X of the Elements is a section of Euclid’s mathematical treatise that systematically develops the theory of irrational magnitudes and incommensurability.
-
D.
Book V of the Elements
Book V of the Elements is the section of Euclid’s mathematical treatise that rigorously develops the general theory of proportion, foundational for real number and magnitude theory in geometry.
-
E.
Euclides adauctus et methodicus
Euclides adauctus et methodicus is a 17th-century mathematical treatise by Guarino Guarini that expands and systematizes Euclidean geometry for advanced study and architectural application.
- F. None of above. chosen
Provenance (5 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69ca82bd9900819099477cdc2eb4244f |
completed | March 30, 2026, 2:03 p.m. |
| NER | Named-entity recognition | batch_69cb4444bb248190beaaa2ce4b8f3eaa |
completed | March 31, 2026, 3:49 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69cc94a9ecd08190a029a8d76d9f3bb1 |
completed | April 1, 2026, 3:44 a.m. |
| NEDg | Description generation | batch_69cc95c228c08190a603c1dff44ff299 |
completed | April 1, 2026, 3:49 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69cc96b02d38819085eb51c1943b3045 |
completed | April 1, 2026, 3:53 a.m. |
Created at: March 30, 2026, 5:36 p.m.